I grew up listening to Classic Rock and as I got older I started listening to hip hop. I listen to the occasional alternative rock but it's mostly 90s.
Hip-Hop music I like Eminem, Jay-Z, TI, Common, Kanye West, Kid Cudi, Slaughterhouse, Lupe Fiasco, 50 Cent, Dr. Dre, Fabolous, Lloyd Banks, D12, Big Sean, J Cole, Yelawolf, Drake, Ludacris, Outkast, Bun B, ... just to name a few..
As for classic rock it's Led Zeppelin, The Who, Jimi Hendrix, Rolling Stones, Tom Petty, Eagles, Doors, Sabbath, Bob Dylan, Kinks, Beatles, Pink Floyd, Neil Young, Emerson Lake and Palmer, Bad Company, AC/DC... to name some of my favorites.
And as for alt rock its Blink 182, Red Hot Chili Peppers, BUSH, Pearl Jam, Green Day..